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Finding the Fourth Proportional to 8,621.20, 11,894.20 and 5,638.78

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Solution

The fourth proportional to 8,621.20, 11,894.20 and 5,638.78 is: 7,779.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,621.20 : 11,894.20 = 5,638.78 : x
  2. Step 2: Convert to fraction form
    8,621.20/11,894.20 = 5,638.78/x
  3. Step 3: Cross multiply
    8,621.20x = 11,894.20 × 5,638.78
  4. Step 4: Simplify right side
    8,621.20x = 67,068,777.08
  5. Step 5: Solve for x
    x = 67,068,777.08/8,621.20
  6. Step 6: Final answer
    x = 7,779.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.